使用Wannier函数进行高效的精确交换以及在RT-TDDFT的平面波伪潜在实现中的其他相关发展
Christopher Shepard1, Ruiyi Zhou1, John Bost1
1Department of Chemistry, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina 27599, USA.
The Journal of chemical physics
|July 10, 2024
概括
这项研究推进了实时时间依赖密度函数理论 (RT-TDDFT) 模拟的平面波伪电位 (PW-PP) 方法. 最大定位的万尼尔函数 (MLWF) 加快了计算,改善了电子动态的研究.
科学领域:
- 计算物理 计算物理
- 量子化学 是一个量子化学.
- 材料科学 材料科学 材料科学
背景情况:
- 平面波伪电位 (PW-PP) 形式主义是周期系电子结构计算的标准.
- 实时时间依赖密度函数理论 (RT-TDDFT) 将这些方法扩展到研究动态电子现象.
研究的目的:
- 介绍RT-TDDFT的PW-PP形式主义的最新进展.
- 详细说明最大局部化的万尼尔函数 (MLWF) 的应用,以加速RT-TDDFT模拟.
- 讨论相关发展,以提高RT-TDDFT的准确性和适用性.
主要方法:
- 使用最大限度的本地化Wannier函数 (MLWFs) 来加快RT-TDDFT中的确切交换计算.
- 在依赖时间的电场下,对依赖时间的MLWF (TD-MLWF) 实施反赫米蒂斯校正.
- 对比速度和长度计方法用于电场应用.
- 采用复杂的吸收潜力来建模孤立系统.
主要成果:
- 证明了使用MLWF进行RT-TDDFT模拟的加速,并进行了精确的交换.
- 引入并验证了TD-MLWFs的反赫米蒂安校正.
- 提供了TD-MLWF生成和应用的精细程序.
- 展示了复杂的吸收潜力的有效性,用于孤立系统模拟.
结论:
- 增强的PW-PP形式主义与MLWF显著加速RT-TDDFT模拟.
- 介绍的进展提高了时间依赖的电子结构计算的准确性和范围.
- 这些进步促进了对时间依赖的电子动态现象的更深入的理解.
更多相关视频
相关概念视频
Van der Waals Equation
4.0K
The ideal gas law is an approximation that works well at high temperatures and low pressures. The van der Waals equation of state (named after the Dutch physicist Johannes van der Waals, 1837−1923) improves it by considering two factors.
First, the attractive forces between molecules, which are stronger at higher densities and reduce the pressure, are considered by adding to the pressure a term equal to the square of the molar density multiplied by a positive coefficient a. Second, the volume...
First, the attractive forces between molecules, which are stronger at higher densities and reduce the pressure, are considered by adding to the pressure a term equal to the square of the molar density multiplied by a positive coefficient a. Second, the volume...
4.0K
The de Broglie Wavelength
25.4K
In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
25.4K
Crystal Field Theory - Tetrahedral and Square Planar Complexes
42.0K
Tetrahedral Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
42.0K
Hybridization of Atomic Orbitals II
32.1K
sp3d and sp3d 2 Hybridization
32.1K
Hybridization of Atomic Orbitals I
46.9K
The mathematical expression known as the wave function, ψ, contains information about each orbital and the wavelike properties of electrons in an isolated atom. When atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes. This process of combining the wave functions for atomic orbitals is called hybridization and is mathematically accomplished by the linear combination of atomic orbitals. The new orbitals that...
46.9K
The Pauli Exclusion Principle
36.3K
The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
36.3K


